Jones-Wenzl twist eigenvalue (source code)

= Jones-Wenzl twist eigenvalue
{c}
{title2=$\theta_n=(-1)^nA^{n(n+2)}$}

A positive framing twist on an n-strand Jones-Wenzl cable has n positive individual curls and $n(n-1)$ braid crossings. Each curl contributes $-A^3$, and each braid crossing contributes $A$ because its turnback term annihilates the <Jones-Wenzl idempotent>. Their product is the displayed scalar. This is the colored framing factor used in surgery invariants.